21750960 has 240 divisors, whose sum is σ = 85494528. Its totient is φ = 4477440.

The previous prime is 21750959. The next prime is 21750983. The reversal of 21750960 is 6905712.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203227 + ... + 203333.

Almost surely, 2^21750960 is an apocalyptic number.

21750960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21750960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264).

21750960 is an abundant number, since it is smaller than the sum of its proper divisors (63743568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21750960 is a wasteful number, since it uses less digits than its factorization.

21750960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 21750960 is about 4663.7924482121. The cubic root of 21750960 is about 279.1426153879.

The spelling of 21750960 in words is "twenty-one million, seven hundred fifty thousand, nine hundred sixty".